This is circle based question from Chapter name- circles

Topic – Angle properties of circles

Chapter number- 15

In this question we have, O is the centre of the circle and SP is a tangent.

∠SRT = 65°, and by using these we have to find the value of x, y and z.

This question has been asked in 2015.

In the second part of the question we have O is the centre of the circle. PS and PT are tangents and ∠SPT = 84°.

Now we have to calculate the sizes of the angles TOS and TQS.

ICSE Avichal publication

Understanding ICSE Mathematics

Question no 22

Solution:Consider the following figure:

TS ⊥ SP,

∠TSR = ∠OSP = 90°

In ∆TSR,

∠TSR + ∠TRS + ∠RTS = 180°